Finding the Third Proportional to 31,138 and 64,492

Step by Step Solution

1. Step 1: Write the proportion equation
   31,138 : 64,492 = 64,492 : x
2. Step 2: Convert to fraction form
   31,138/64,492 = 64,492/x
3. Step 3: Cross multiply
   31,138x = 64,492 × 64,492
4. Step 4: Simplify right side
   31,138x = 4,159,218,064
5. Step 5: Solve for x
   x = 4,159,218,064/31,138
6. Step 6: Final answer
   x = 133,573.71